Visual inspection and 3D reconstruction based on image-to-mirror planes

This article addresses the problem of recovering a tridimensional scene from only one uncalibrated static camera and images from planar mirrors. We present a linear solution for 3D Euclidean reconstruction based on multiocular geometry, epipolar geometry and projective geometric properties. From the recovered points of the scene we can obtain information related with distances, areas, curvatures, dimensions and even volumes of its objects. A system based on this technique could be applied on the industry, in tasks of great importance, such as the quality tests and metrology inspection. The system is simple, low cost and could achieve good performance.